Search a number
-
+
32120223020100 = 223252431018217623
BaseRepresentation
bin1110100110110100100100…
…11110111011010001000100
311012201122220120100211000100
413103122102132323101010
513202224204043120400
6152151454324444100
76523416032612115
oct723322236732104
9135648816324010
1032120223020100
11a264123582296
123729145849630
1314bcc02144c27
147d08aca3820c
153aa7c2612100
hex1d36927bb444

32120223020100 has 216 divisors, whose sum is σ = 104040444860352. Its totient is φ = 8283362976000.

The previous prime is 32120223020099. The next prime is 32120223020113. The reversal of 32120223020100 is 102032202123.

32120223020100 is a `hidden beast` number, since 32 + 1 + 202 + 230 + 201 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200112 + ... + 8017511.

Almost surely, 232120223020100 is an apocalyptic number.

32120223020100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32120223020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020222430176).

32120223020100 is an abundant number, since it is smaller than the sum of its proper divisors (71920221840252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32120223020100 is a wasteful number, since it uses less digits than its factorization.

32120223020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217787 (or 8217777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32120223020100 its reverse (102032202123), we get a palindrome (32222255222223).

The spelling of 32120223020100 in words is "thirty-two trillion, one hundred twenty billion, two hundred twenty-three million, twenty thousand, one hundred".